diff --git a/Sources/Operators/Amb.swift b/Sources/Operators/Amb.swift
index 5801e6c..71e692d 100644
--- a/Sources/Operators/Amb.swift
+++ b/Sources/Operators/Amb.swift
@@ -103,8 +103,10 @@ private extension Publishers.Amb {
                 guard let decision = decision else { return }
                 switch decision {
                 case .first:
+                    secondSink?.cancelUpstream()
                     secondSink = nil
                 case .second:
+                    firstSink?.cancelUpstream()
                     firstSink = nil
                 }
 
@@ -144,7 +146,9 @@ private extension Publishers.Amb {
         }
 
         func cancel() {
+            firstSink?.cancelUpstream()
             firstSink = nil
+            secondSink?.cancelUpstream()
             secondSink = nil
         }
     }
diff --git a/Tests/AmbTests.swift b/Tests/AmbTests.swift
index fa8177a..dd5ceec 100644
--- a/Tests/AmbTests.swift
+++ b/Tests/AmbTests.swift
@@ -47,6 +47,65 @@ class AmbTests: XCTestCase {
         XCTAssertEqual(completion, .finished)
     }
 
+    func testAmbCancelPreSubscription() {
+        let ambPublisher: AnyCancellable?
+
+        let subject1Cancelled = expectation(description: "first publisher cancelled")
+        let subject1 = PassthroughSubject<Int, Error>()
+        let subject1Publisher = subject1
+            .handleEvents(receiveCancel: {
+                subject1Cancelled.fulfill()
+            })
+            .eraseToAnyPublisher()
+
+        let subject2Cancelled = expectation(description: "second publisher cancelled")
+        let subject2 = PassthroughSubject<Int, Error>()
+        let subject2Publisher = subject2
+            .handleEvents(receiveCancel: {
+                subject2Cancelled.fulfill()
+            })
+            .eraseToAnyPublisher()
+
+        ambPublisher = Publishers.Amb(first: subject1Publisher, second: subject2Publisher)
+            .sink(receiveCompletion: { _ in },
+                  receiveValue: { _ in })
+
+        // cancelling amb should cancel the inner publishers
+        ambPublisher?.cancel()
+
+        waitForExpectations(timeout: 0.01)
+    }
+
+    func testAmbCancelPostSubscription() {
+        let subject1 = PassthroughSubject<Int, Error>()
+        var subject1cancelCounter = 0
+        let subject1Publisher = subject1
+            .handleEvents(receiveCancel: {
+                subject1cancelCounter += 1
+            })
+            .eraseToAnyPublisher()
+
+        let subject2 = PassthroughSubject<Int, Error>()
+        var subject2cancelCounter = 0
+        let subject2Publisher = subject2
+            .handleEvents(receiveCancel: {
+                subject2cancelCounter += 1
+            })
+            .eraseToAnyPublisher()
+
+        Publishers.Amb(first: subject1Publisher, second: subject2Publisher)
+            .sink(receiveCompletion: { _ in },
+                  receiveValue: { _ in })
+            .store(in: &subscriptions)
+
+        // subject1 wins the race, so 2 has to be cancelled
+        subject1.send(1)
+
+        // At dealloc both publishes are cancelled, so we cannot use expectations here and count the cancel events instead
+        XCTAssertEqual(subject1cancelCounter, 0)
+        XCTAssertEqual(subject2cancelCounter, 1)
+    }
+
     func testAmbLimitedPreDemand() {
         let subject1 = PassthroughSubject<Int, Never>()
         let subject2 = PassthroughSubject<Int, Never>()